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Finding the Fourth Proportional to 397,414.80, 596,122.20 and 131,216.40

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Solution

The fourth proportional to 397,414.80, 596,122.20 and 131,216.40 is: 196,824.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,414.80 : 596,122.20 = 131,216.40 : x
  2. Step 2: Convert to fraction form
    397,414.80/596,122.20 = 131,216.40/x
  3. Step 3: Cross multiply
    397,414.80x = 596,122.20 × 131,216.40
  4. Step 4: Simplify right side
    397,414.80x = 78,221,009,044.08
  5. Step 5: Solve for x
    x = 78,221,009,044.08/397,414.80
  6. Step 6: Final answer
    x = 196,824.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.